Clover Bar Junior High
Grade 9 Mathematics
Year End Review
Unit 4 – Linear Relations (textbook Chpt. 4)
Identify a relation …
between 2 sets of values (ie. table of values);
for a given pictoral or written pattern;
in a real-world problem solving context.
For each situation identify the relation.
a)
b)
c)
d)
Graph a Linear Relation Given the Relation or a Table of Values
Graph the given relation or table of values using the grid paper at the back of this review.
a) x + 3 = y
b) y = 4x – 8
d) x = -3
e) y = 4
c)
Explain why all the relations above are linear relations. Give 2 reasons.
Identify the Relation for a Given Graph
For the graphs given, create a table of values, and then identify the relation.
a)
b)
c)
d)
Creating a Graph for a Real World Applications
- extrapolate and interpolate information from the graph
a) A local business was hiring students to fill positions. The business heard it was difficult to
get the kids to show up for all shifts so the company advertised that students would be paid
$10 an hour but would also get an $80 monthly bonus if they worked all their scheduled
hours.
Write a relation for this situation comparing the hours students work to the money they make
in a month. Complete the table of values given and then graph the data on the Cartesian Grid.
When the graph is complete, use the graph to estimate
how much a student would make if they worked 35 hours.
how many hours a student would need to work in order to make $700 one month.
Hours
10
20
30
40
Pay
b) In a kindergarten class students start the week with 100 stars. They receive or lose stars
every time they do something good or bad. Students lose 3 stars every time they are
aggressive towards another student. Lil’ Billy has never received extra stars because he is
too aggressive.
Write a relation for Lil’ Billy’s star situation comparing the number of aggression incidences
Billy has to the number of stars he has. Complete the table of values given and then graph
the data on the Cartesian Grid.
When the graph is complete, use the graph to estimate
how many incidences result in Billy having 15 stars.
how many stars Billy has after 7 incidences of aggression.
aggressive
incidents
stars
5
10
15
20
Using the above 2 examples, explain which estimates you made were extrapolations and which
ones were interpolations and how you tell them apart.
Why should the graph in a) be a “solid line”, while the graph for b) should be “dots” only?
Additional Review/Practice can be found in the textbook on the following pages…
Study Guide – pg. 200
Extra Practice - pg. 181; **pg. 188-189**; pg. 201-203